Question

How do you simplify `(a^2 + 5a + 4) / (a + 4 ) * (a + 5) /( a^2 + 6a + 5)`?

Answer 1

`1`

Explanation:

`(a^2 + 5a + 4)/(a+4` `*` `(a + 5)/ (a^2 + 6a + 5`

= `((a + 4)(a + 1))/(a + 4)` `*` `(a + 5)/((a + 5)(a + 1)`

Cancel out all the same binomial upward and downward and cross.

Then the answer is `1`